Shortest Paths with Higher-Order Regularization

This paper describes a new method of finding thin, elongated structures in images and volumes. We use shortest paths to minimize very general functionals of higher-order curve properties, such as curvature and torsion. Our method uses line graphs to find the optimal path on a given discretization, o...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on pattern analysis and machine intelligence. - 1979. - 37(2015), 12 vom: 21. Dez., Seite 2588-600
1. Verfasser: Ulen, Johannes (VerfasserIn)
Weitere Verfasser: Strandmark, Petter, Kahl, Fredrik
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2015
Zugriff auf das übergeordnete Werk:IEEE transactions on pattern analysis and machine intelligence
Schlagworte:Journal Article Research Support, Non-U.S. Gov't
LEADER 01000naa a22002652 4500
001 NLM254359116
003 DE-627
005 20231224172212.0
007 cr uuu---uuuuu
008 231224s2015 xx |||||o 00| ||eng c
024 7 |a 10.1109/TPAMI.2015.2409869  |2 doi 
028 5 2 |a pubmed24n0847.xml 
035 |a (DE-627)NLM254359116 
035 |a (NLM)26539860 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Ulen, Johannes  |e verfasserin  |4 aut 
245 1 0 |a Shortest Paths with Higher-Order Regularization 
264 1 |c 2015 
336 |a Text  |b txt  |2 rdacontent 
337 |a ƒaComputermedien  |b c  |2 rdamedia 
338 |a ƒa Online-Ressource  |b cr  |2 rdacarrier 
500 |a Date Completed 09.02.2016 
500 |a Date Revised 06.11.2015 
500 |a published: Print 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a This paper describes a new method of finding thin, elongated structures in images and volumes. We use shortest paths to minimize very general functionals of higher-order curve properties, such as curvature and torsion. Our method uses line graphs to find the optimal path on a given discretization, often in the order of seconds on a single computer. The curves are then refined using local optimization making it possible to recover very smooth curves. We are able to place constraints on our curves such as maximum integrated curvature, or a maximum curvature at any point of the curve. To our knowledge, we are the first to perform experiments in three dimensions with curvature and torsion regularization. The largest graphs we process have over a hundred billion arcs. Experiments on medical images and in multi-view reconstruction show the significance and practical usefulness of higher order regularization 
650 4 |a Journal Article 
650 4 |a Research Support, Non-U.S. Gov't 
700 1 |a Strandmark, Petter  |e verfasserin  |4 aut 
700 1 |a Kahl, Fredrik  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t IEEE transactions on pattern analysis and machine intelligence  |d 1979  |g 37(2015), 12 vom: 21. Dez., Seite 2588-600  |w (DE-627)NLM098212257  |x 1939-3539  |7 nnns 
773 1 8 |g volume:37  |g year:2015  |g number:12  |g day:21  |g month:12  |g pages:2588-600 
856 4 0 |u http://dx.doi.org/10.1109/TPAMI.2015.2409869  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 37  |j 2015  |e 12  |b 21  |c 12  |h 2588-600